Erscheinungsdatum: 11/2011, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Diagonally Implicit Runge-Kutta Methods for Solving Linear ODEs, Titelzusatz: Numerical Methods for ODEs, Autor: Che Jawias, Nurizzati // Ismail, Fudziah, Verlag: LAP Lambert Acad. Publ., Sprache: Englisch, Rubrik: Mathematik // Sonstiges, Seiten: 140, Informationen: Paperback, Gewicht: 225 gr, Verkäufer: averdo
Linear-implizite Runge-Kutta-Methoden und ihre Anwendung ab 49.99 € als Taschenbuch: 1992. 1992. Aus dem Bereich: Bücher, Wissenschaft, Technik,
Diagonally Implicit Runge-Kutta Methods for Solving Linear ODEs ab 58.99 € als Taschenbuch: Numerical Methods for ODEs. Aus dem Bereich: Bücher, Wissenschaft, Mathematik,
Linear-implizite Runge-Kutta-Methoden und ihre Anwendung ab 49.99 EURO 1992. 1992
The book has three chapters and an Appendix on different methods to calculate approximate areas of plain regions enclosed by curves. Tutorials, Tests and Examination Papers of different Universities where the author taught the course at the faculties of Engineering and Business Studies are provided. A short bibliography of books on the subject and alphabetical index of the topics covered are given in the end.The first chapter accounts the different methods for numerical solutions of ordinary differential equations. Picard's, Taylor's, Euler's, Runge-Kutta, Milne's and Adams-Bashforth's methods are given. The problems of curve fittings and spline fittings are explained in the second chapter. The Gaussian method of least squares' for the curve of best fit' is included. The concepts of Linear Programming are studied in the third chapter. Solution(s) of linear relations obtained analytically are also discussed by graphical methods. General problems of Linear Programming (LPP), canonical and standard forms of LPP and Simplex methods are discussed. Trapezoidal rule and Simpson's rules for approximate areas of plain regions are included in the Appendix
The numerical approximation of solutions of ordinarydifferential equations played an important role inNumerical Analysis and still continues to be anactive field of research. In this book we are mainlyconcerned with the numerical solution of thefirst-order system of nonlinear two-point boundaryvalue problems. We will focus on the problem ofsolving singular perturbation problems since this hasfor many years been a source of difficulty to appliedmathematicians, engineers and numerical analystsalike. Firstly, we consider deferred correctionschemes based on Mono-Implicit Runge-Kutta (MIRK) andLobatto formulae. As is to be expected, the schemebased on Lobatto formulae, which are implicit, ismore stable than the scheme based on MIRK formulaewhich are explicit. Secondly, we construct high orderinterpolants to provide the continuous extension ofthe discrete solution. It will consider theconstruction of both explicit and implicitinterpolants. The estimation of conditioning numbersis also discussed and used to develop mesh selectionalgorithms which will be appropriate for solvingstiff linear and nonlinear boundary value problems.
The book deals with the basic concepts of fluid dynamics and heat, mass transfer behavior of Newtonian and non-Newtonian fluid past an extending surfaces. The considered subject is perceived by the researchers and post-doctoral researchers. In this book we introduces computational numerical tool for solving highly non-linear differential equations models that arise in flow of fluid, heat and mass transfer of both Newtonian/non-Newtonian fluid problem. Self similar solutions are obtained using the fourth-fifth order Runge-Kutta-Fehlberg method. The considered work has great importance in the field of science and technology. The considered problem is quite useful in guided missiles, rain erosion, uidization, atmospheric fallout, paint and aerosol spraying,lunar ash ows,and cooling of nuclear reactor.
This book deals with the elementary aspects of flow, heat and mass transfer of boundary layer flow problems related to magneto hydrodynamic non- Newtonian nanofluid flows , with special emphasis on slip flow and melting heat transfer so that the subject is perceived by the post graduate students, researchers and post-doctoral researchers. This text also introduces numerical computational tools for solving differential equation models that arise in fluid flow, heat and mass- transfer of non-Newtonian fluids. This study is essentially numerical in character. By applying the similarity transformations, the system of non-linear partial differential equations are reduced into a set of non-linear ordinary differential equations. Obtained equations are then solved numerically using Runge-Kutta-Fehlberg-45 order method along with Shooting technique.
The study of flow-induced noise, known as aeroacoustics, is concerned with the sound generated by turbulent and/or unsteady vortical flows including the effects of any solid boundaries in the flow. Flow-induced noise is a serious problem in many engineering applications. The most notorious one is the jet noise. In this work a shock-capturing adaptive filter is designed. It is indispensable with non linear propagation of acoustic waves or in cases when discontinuities are presents. With the combination of Dispersion Relation Schemes, Runge-Kutta optimized algorithm, selective and nonlinear filter it is possible to calculate directly acoustic and aerodynamic field in a single computation, by solving the compressible unsteady Navier-Stokes equations. Actually, traditional theories using acoustic analogy are appropriate for predicting noise when a sufficiently accurate solution of turbulent flow is available. On the contrary, the approach proposed here can be applied to cases when aerodynamic sources are influenced by acoustic motion such as flames, jet or wake instabilities. This work has been done in collaboration with Dr. Christophe Bogey of École Centrale de Lyon, France.